Optical Dispersion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2
Dopt = (2*pi*[c]*β)/λ^2
This formula uses 2 Constants, 3 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Optical Fiber Dispersion - (Measured in Square Second per Meter) - Optical Fiber Dispersion refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber.
Propagation Constant - (Measured in Radian per Meter) - Propagation Constant is defined as a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
STEP 1: Convert Input(s) to Base Unit
Propagation Constant: 3.8E-15 Radian per Meter --> 3.8E-15 Radian per Meter No Conversion Required
Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dopt = (2*pi*[c]*β)/λ^2 --> (2*pi*[c]*3.8E-15)/1.55E-06^2
Evaluating ... ...
Dopt = 2979344.83070703
STEP 3: Convert Result to Output's Unit
2979344.83070703 Square Second per Meter --> No Conversion Required
FINAL ANSWER
2979344.83070703 3E+6 Square Second per Meter <-- Optical Fiber Dispersion
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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14 Fiber Modelling Parameters Calculators

Effective Interaction Length
Go Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss
Optical Dispersion
Go Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2
Diameter of Fiber
Go Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)
Number of Modes
Go Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light
Power Loss in Fiber
Go Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)
Gaussian Pulse
Go Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)
Brillouin Shift
Go Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength
Modal Birefringence Degree
Go Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)
Rayleigh Scattering
Go Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)
Beat Length
Go Beat Length = Wavelength of Light/Modal Birefringence Degree
Group Velocity
Go Group Velocity = Length of Fiber/Group Delay
Fiber Length
Go Length of Fiber = Group Velocity*Group Delay
Fiber Attenuation Coefficient
Go Attenuation Coefficient = Attenuation Loss/4.343
Number of Modes using Normalized Frequency
Go Number of Modes = Normalized Frequency^2/2

Optical Dispersion Formula

Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2
Dopt = (2*pi*[c]*β)/λ^2

Why dispersion occurs in optical fiber?

Material dispersion is caused by a change in fiber optic material's refractive index with different wavelength. The higher the index, the slower the light travels. Waveguide dispersion is due to the distribution of light between core and cladding.

How to Calculate Optical Dispersion?

Optical Dispersion calculator uses Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2 to calculate the Optical Fiber Dispersion, The Optical Dispersion formula refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber. It is an inherent characteristic of optical fibers that can impact the quality and integrity of optical signals. Optical dispersion arises due to the interaction between the material properties of the fiber and the various optical wavelengths used for signal transmission. Optical Fiber Dispersion is denoted by Dopt symbol.

How to calculate Optical Dispersion using this online calculator? To use this online calculator for Optical Dispersion, enter Propagation Constant (β) & Wavelength of Light (λ) and hit the calculate button. Here is how the Optical Dispersion calculation can be explained with given input values -> 3E+6 = (2*pi*[c]*3.8E-15)/1.55E-06^2.

FAQ

What is Optical Dispersion?
The Optical Dispersion formula refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber. It is an inherent characteristic of optical fibers that can impact the quality and integrity of optical signals. Optical dispersion arises due to the interaction between the material properties of the fiber and the various optical wavelengths used for signal transmission and is represented as Dopt = (2*pi*[c]*β)/λ^2 or Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2. Propagation Constant is defined as a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction & Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
How to calculate Optical Dispersion?
The Optical Dispersion formula refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber. It is an inherent characteristic of optical fibers that can impact the quality and integrity of optical signals. Optical dispersion arises due to the interaction between the material properties of the fiber and the various optical wavelengths used for signal transmission is calculated using Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2. To calculate Optical Dispersion, you need Propagation Constant (β) & Wavelength of Light (λ). With our tool, you need to enter the respective value for Propagation Constant & Wavelength of Light and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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